As discussed earlier, radiation emitted by the cosmological event horizon are analogous to Hawking radiation of black hole. Good thing is that we can use the 2D CFT formula [1]}, [2]} even for de-Sitter patch in s-wave approximation [3]}. Boundaries of the radiation regions for the de-Sitter patch defined in similar manner to the black hole case. The de-Sitter patch entanglement entropy also has a linear time dependence when there is no cosmological island surface implying there will be infinite amount of de-Sitter radiation at late times, consequently we will have de-Sitter information paradox (similar to information paradox of the black hole). To resolve this paradox, we have introduced a cosmological island surface in the de-Sitter patch. Inclusion of cosmological island surface leads to saturation of the entanglement entropy, of de-Sitter radiation, and this saturation value is equal to twice of thermal entropy of de-Sitter radiation. Dominance of entanglement entropy of de-Sitter radiation is similar to Hawking radiation, i.e., before the Page time, entanglement entropy without cosmological island surface dominates and after the Page time, entanglement entropy with inclusion of the island surface dominates and we obtain the Page-like curves for de-Sitter patch as well. Authors in [4]} studied the information paradox and its resolution for the black hole by locating the observers at the cosmological horizons on both side whereas in our case, instead of locating the observers at the de-Sitter horizons, here we locate them at thermal opaque membranes.
